In the context of the main idea presented in this work, use of the downlink channel (to create the entanglement channel) in an experimental set up similar to [1]} would be beneficial mostly in the context of an increased rate of teleportation, rather than an increase in fidelity. Our phase-screen simulations suggest (reversing the aperture sizes for a fair comparison, that is, 6.5cm radius transmitter at the satellite and 15cm radius on the receiving aperture) would result in a turbulence induced loss of 25dB, which would lead to a factor of \(\sim 2-4\)  enhancement in the teleportation rate relative to direct transmission. Of course, if we increase the ground receiver aperture, larger enhancements could be found. The fact that it is much easier to deploy large telescopes on the ground, compared to in space, is another advantage of our teleportation scheme.
